Time and Work - Arithmetic Aptitude Questions and Answers

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How many workers are required for completing the construction work in 10 days?

I .20% of the work can be completed by 8 workers in 8 days.

II. 20 workers can complete the work in 16 days.

III.One-eighth of the work can be completed by 8 workers in 5 days.

I only

II and III only

III only

I and III only

Any one of the three

Answer : Option E

Explanation :

I. $\frac { 20 } {100 }$ work can be completed by (8 x 8) workers in 1 day.

Whole work can be completed by (8 x 8 x 5) workers in 1 day.

= $\frac { 8*8*5 } {10 }$ workers in 10 days = 32 workers in 10 days.

II. (20 x 16) workers can finish it in 1 day

. $\frac { (20*16) } { 10 }$ workers can finish it in 10 days.

32 workers can finish it in 10 days.

III. $\frac { 1 } { 8 }$ work can be completed by (8 x 5) workers in 1 day.

Whole work can be completed by (8 x 5 x 8) workers in 1 day.

= $\frac { 8*8*5 } {10 }$ workers in 10 days = 32 workers in 10 days.

Any one of the three gives the answer.

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